Question:
Factorize:
$x^{2}-(a+b) x+a b$
Solution:
We have:
$x^{2}-(a+b) x+a b=x^{2}-a x-b x+a b$
$=\left(x^{2}-a x\right)-(b x-a b)$
$=x(x-a)-b(x-a)$
$=(x-a)(x-b)$
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